Trivia Math Question, for every 10 cent scalp bet what is your ROI?

[QUOTE=Calsport;25314]Can you show your math for C, please?[/QUOTE] You will have two wagers for Case C. In Wager #1, you will risk R1 to win W1 (Note that this bet is at -280, so R1 = 2.8 * W1). In Wager #2, you will risk R2 to win W2 (Note that this bet is at +320, so R2 = W2 / 3.2). You want to set up an equation where to ensure you profit the same amount regardless of which way wins... W1 - R2 = W2 - R1 Which you can turn into… W1 – W2/3.2 = W2 – 2.8 * W1 Solve as a ratio, W2/W1 = 2.895. Assume W1 = 1 for simplicity’s sake. So for Wager 1 you risked 2.8 to win 1. For Wager 2, you know your win amount was 2.895 and the bet was at +320 odds, so you risked 0.905 to win 2.895. Regardless of which wager wins, you’ve won 0.095. You risked a total of (2.8 + 0.905) = 3.705… ROI = 0.095 / 3.705 = 2.564% (due to rounding, didn’t exactly get 2.57%) I didn't think it would take that long to explain... but that was my thought process. Hope it helps.

Craig, thanks for the response and detail. I noticed after I posted that the conditions were to wager only enough on the dog to gain the same profit on both bets. For simplicity I was wagering to win a unit on the favorite and betting a full unit on the dog, which is why I got slightly greater ROI. I was wagering a little more on the dog. An interesting result is that I get a higher ROI by wagering more on the dog. In your example amount wagered is irrelevant to ROI as is the actual probability of a fav./dog cover. You "balance your action" and derive your profit and don't care who covers. My ROI calc. comes out higher because I'm assuming the correct prob. of cover is between the odds given and I'm betting a little more on a profitable dog just for simplicity. Thanks for the discussion.

The thing to remember with this is that there is generally more volatility when betting dogs on the moneyline. If you have two bets with the same EV, the one with the higher probability of winning (the favorite) is better for the expected growth of your bankroll according to Kelly.

My guess would have been "less than taking a naked position".

Fairly easy quiz, but I've seen winning bettors botch similar: -You "know" a Cubs-Reds MLB game is fairly valued at +100. - You originally bet $100 (1% bankroll) on Reds +110. - The line moves towards game time so that you now have the opportunity to bet Cubs at +100. Which of these is the best wager size at the Cubs +100 line A)$100 B)$50 C)Zero D)$200 Same question but now the second line is Cubs +105.. A)$100 B)$50 C)Zero D)$200